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Gu, Xiang; Wang, Huicheng; Wong, P. J. Y.; Xia, Yonghui

Existence and stability of periodic solution to delayed nonlinear differential equations. (English) Zbl 1470.34178

Abstr. Appl. Anal. 2014, Article ID 156948, 12 p. (2014).
Summary: The main purpose of this paper is to study the periodicity and global asymptotic stability of a generalized Lotka-Volterra’s competition system with delays. Some sufficient conditions are established for the existence and stability of periodic solution of such nonlinear differential equations. The approaches are based on Mawhin’s coincidence degree theory, matrix spectral theory, and Lyapunov functional.

Cited in 2 Documents

MSC:

34K13 Periodic solutions to functional-differential equations
34K20 Stability theory of functional-differential equations
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\textit{X. Gu} et al., Abstr. Appl. Anal. 2014, Article ID 156948, 12 p. (2014; Zbl 1470.34178)
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